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A016187
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Expansion of 1/((1-8x)(1-11x)).
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1
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1, 19, 273, 3515, 42761, 503139, 5796673, 65860555, 741243321, 8287894259, 92240578673, 1023236299995, 11324318776681, 125117262357379, 1380687932442273, 15222751628953835, 167731742895202841
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..16.
Index entries for linear recurrences with constant coefficients, signature (19,-88).
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FORMULA
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a(n) = (11^(n+1) - 8^(n+1))/3. - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 05 2005
a(n) = 11*a(n-1) + 8^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011
a(n) = 19*a(n-1) - 88*a(n-2), a(0)=1, a(1)=19. - Vincenzo Librandi, Feb 09 2011
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MATHEMATICA
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Join[{a=1, b=19}, Table[c=19*b-88*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011 *)
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PROG
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(PARI) for(n=1, 10, print1((11^n-8^n)/3, ", "))
(PARI) MM(n, N) = local(M); M=matrix(n, n); for(i=1, n, for(j=1, n, if(i==j, M[i, j]=N, M[i, j]=1))); M
for(i=1, 10, print1((MM(3, 9)^i)[1, 2], ", "))
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CROSSREFS
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Sequence in context: A016248 A322539 A199819 * A016184 A197742 A322628
Adjacent sequences: A016184 A016185 A016186 * A016188 A016189 A016190
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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